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Titlebook: Algebra for Applications; Cryptography, Secret Arkadii Slinko Textbook 20151st edition Springer International Publishing Switzerland 2015 B

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https://doi.org/10.1007/978-94-6265-543-0ing codes. Then we consider polynomial codes and BCH-codes. We introduce non-binary codes and, most importantly, Reed-Solomon codes. In the last section we use non-binary codes to construct fingerprinting codes that give protection to intellectual property rights holders against colluding malicious users.
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1615-2085 te the main ideas.Suitable for beginners with a very little .This book examines the relationship between mathematics and data in the modern world. Indeed, modern societies are awash with data which must be manipulated in many different ways: encrypted, compressed, shared between users in a prescribe
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https://doi.org/10.1007/978-1-4684-5293-8ures. Here we give a glimpse of the combinatorial approach to the problem describing Fitingof’s compression codes. These codes are universal as they can be used when we do not know how the data was generated. Fitingof’s codes have an elegant decoding procedure using the Pascal triangle.
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https://doi.org/10.1007/978-1-4684-5293-8tic and cryptographic ones—use GAP to illustrate the main ideas. In this chapter we provide the readers with the GAP basics sufficient for them to understand the calculations in the text and to solve exercises.
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Polynomials,hich is a power of a prime .. This field is constructed as polynomials modulo an irreducible polynomial of degree .. The field constructed will be an extension of . and in this context we discuss minimal annihilating polynomials which we will need in Chap. . for the construction of good error-correcting coding.
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Compression,ures. Here we give a glimpse of the combinatorial approach to the problem describing Fitingof’s compression codes. These codes are universal as they can be used when we do not know how the data was generated. Fitingof’s codes have an elegant decoding procedure using the Pascal triangle.
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